Figure REF (a) shows an instantaneous chain configuration and the resulting primitive chain using our analysis.
We now explore the curvilinear dynamics in quiescence by examining the relaxation behavior of the primitive chain contour length (\(L\) ) characterized by \(\langle L(t)L(0) \rangle - \langle L \rangle ^2\) . Rouse dynamics (for a continuous Rouse chain) for the curvilinear relaxation predicts [1]}:
\(P_L(t) \equiv \frac{\langle L(t)L(0) \rangle - \langle L \rangle ^2}{\langle L^2 \rangle - \langle L \rangle ^2} = \sum _{p=1 (\text{odd})}^{\infty }\frac{8}{\pi ^2p^2}\exp \left[-\frac{p^2t}{\tau _R} \right],\) 
